ABSTRACT

In a macroscopic analysis, the geometrical points may store information that pertains to lower geometrical scales. At the macroscopic scale, the exchange is realized through local transfer: while most of the geometrical details of the lower scales are wiped out, the transfer coefficients attempt to keep some tracks of the physical properties, e.g., the diffusion coefficients, and of the characteristic diffusion times or lengths. If the species are not electrically neutral, the independence of the mass transfers is lost. The sense of the mass exchange is driven both by the difference of mass densities between the solid and the liquid and by the strain. The mass of each fluid may vary due to mass transfer with the sister cavity and due to diffusion from/to the surroundings. However, attention should be paid to the fact that the solid and liquid do not play symmetric roles in the energy equation due to the identification of the momentum transfer of the liquid.